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Simplifying 2w2 + 38w + 140 = 0 Reorder the terms: 140 + 38w + 2w2 = 0 Solving 140 + 38w + 2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(70 + 19w + w2) = 0 Factor a trinomial. 2((14 + w)(5 + w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + w)' equal to zero and attempt to solve: Simplifying 14 + w = 0 Solving 14 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + w = 0 + -14 w = 0 + -14 Combine like terms: 0 + -14 = -14 w = -14 Simplifying w = -14Subproblem 2
Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Solution
w = {-14, -5}
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